Natural weak factorization systems
Archivum Mathematicum (2006)
- Volume: 042, Issue: 4, page 397-408
- ISSN: 0044-8753
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topGrandis, Marco, and Tholen, Walter. "Natural weak factorization systems." Archivum Mathematicum 042.4 (2006): 397-408. <http://eudml.org/doc/249802>.
@article{Grandis2006,
abstract = {In order to facilitate a natural choice for morphisms created by the (left or right) lifting property as used in the definition of weak factorization systems, the notion of natural weak factorization system in the category $\mathcal \{K\}$ is introduced, as a pair (comonad, monad) over $\mathcal \{K\}^\{\bf 2\}$. The link with existing notions in terms of morphism classes is given via the respective Eilenberg–Moore categories.},
author = {Grandis, Marco, Tholen, Walter},
journal = {Archivum Mathematicum},
keywords = {Eilenberg-Moore categories},
language = {eng},
number = {4},
pages = {397-408},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Natural weak factorization systems},
url = {http://eudml.org/doc/249802},
volume = {042},
year = {2006},
}
TY - JOUR
AU - Grandis, Marco
AU - Tholen, Walter
TI - Natural weak factorization systems
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 4
SP - 397
EP - 408
AB - In order to facilitate a natural choice for morphisms created by the (left or right) lifting property as used in the definition of weak factorization systems, the notion of natural weak factorization system in the category $\mathcal {K}$ is introduced, as a pair (comonad, monad) over $\mathcal {K}^{\bf 2}$. The link with existing notions in terms of morphism classes is given via the respective Eilenberg–Moore categories.
LA - eng
KW - Eilenberg-Moore categories
UR - http://eudml.org/doc/249802
ER -
References
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